Transformations of Parent Functions

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions. It serves as a reference point for transformations.

Front

What transformation occurs in the function y = f(x - 4)?

Back

The graph shifts to the right by 4 units.

Front

What is the general form of a quadratic function?

Back

The general form is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What type of function is represented by the equation f(x) = |x|?

Back

Absolute Value Function.

Front

How does the graph of f(x) = x^2 change when a > 1?

Back

The graph undergoes a vertical stretch.

Front

What is the effect of a negative sign in front of a function, such as f(x) = -x^2?

Back

The graph reflects over the x-axis.

Front

What is the domain of the square root function f(x) = √x?

Back

The domain is x ≥ 0.

Front

What type of function is represented by f(x) = log(x)?

Back

Logarithmic Function.

Front

What transformation is represented by the function f(x) = x^2 + 3?

Back

The graph shifts up by 3 units.

Front

What is the range of the function f(x) = x^2?

Back

The range is y ≥ 0.